Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions

@article{Hietanen2009EvolutionOT,
  title={Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions},
  author={Ari J. Hietanen and Kari Rummukainen and Kimmo Tuominen Florida International University and University of Helsinki and University of Oulu and University of Jyvaskyla},
  journal={Physical Review D},
  year={2009},
  volume={80},
  pages={094504}
}
We measure the evolution of the coupling constant using the Schroedinger functional method in the lattice formulation of SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We observe strong evidence for an infrared fixed point, where the theory becomes conformal. We measure the {beta} function and the coupling constant as a function of the energy sca0008. 

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References

SHOWING 1-10 OF 23 REFERENCES

Running of the coupling and quark mass in SU(2) with two adjoint fermions

We simulate SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We calculate the running of the Schroedinger Functional coupling and the renormalised quark mass over a

Conformal vs confining scenario in SU(2) with adjoint fermions

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Nucl

  • Phys. B 389, 247
  • 1993

Phys

  • Rev. D 71, 051901 (2005) [arXiv:hep-ph/0405209]; D. D. Dietrich, F. Sannino and K. Tuominen, Phys. Rev. D 72, 055001 (2005) [arXiv:hep-ph/0505059]; D. D. Dietrich and F. Sannino, Phys. Rev. D 75, 085018
  • 2007

Phys

  • Rev. D 78, 115010
  • 2008

Phys

  • Rev. D 78, 065001
  • 2008

Phys

  • Rev. Lett. 61, 1553
  • 1988

Nucl

  • Phys. B 384, 168
  • 1992

JHEP 0909

  • 050
  • 2009

Phys

  • Rev. D 79, 015016
  • 2009